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Alex
3 years ago
15

Which of the following are square roots of the number below? Check all the apply.

Mathematics
1 answer:
postnew [5]3 years ago
6 0

Answer:

A one is the correct answer

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Consider the line segment.
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Part A:
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Part B:
64cm
Part C:
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Part D:
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2 years ago
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What is the y-value of the vertex of the function f(x)=-(x+8)(x-14)?<br> 3<br> 6<br> 112<br> 121
MAXImum [283]

Answer:

121

Step-by-step explanation:

Given

f(x) = - (x + 8)(x - 14) ← expand factors using FOIL

     = - (x² - 6x - 112) ← distribute by - 1

     = - x² + 6x + 112

Given a quadratic in standard form. y = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

f(x) = - x² + 6x + 112 ← is in standard form

with a = - 1 and b = 6, thus

x_{vertex} = - \frac{6}{-2} = 3

Substitute x = 3 into f(x) for corresponding value of y

f(3) = - (3)² + 6(3) + 112 = - 9 + 18 + 112 = 121

vertex = (3, 121 ) ← with y = 121

6 0
3 years ago
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A chemist has 5 1/10 kg of calcium chloride. If she uses 0.15 kg of the compound each time she performs and experiment, for how
Licemer1 [7]

Answer:

5 1/10 ÷ .15 is 34 so she will be able to perform 34 experiments

7 0
3 years ago
For what values of x does the graph of f have a horizontal tangent? (Use n as your integer variable. Enter your answers as a com
BartSMP [9]
F(x) = x - 2sinx

To find for what values of x graph has tangents we need to differentiate function f(x).
f'(x) = 1-2cosx
Now, if we want to have horizontal tangents we need to make function f'(x) equal to 0 because at minimum or maximum of function f(x) tangent is horizontal.

1-2cosx = 0
cosx = 1/2
x = pi/3 + 2*n*pi      and
x = -pi/3 + 2*n*pi 

Explanation: cosx = 1/2 for both 60° and -60°. If we make one circle cosx will be equal to 1/2 for 420 and 300 degrees. Writing degrees in radians (using pi) we can write formulas above where 2*pi represents one full circle and n is an integer which represents how many circles we made.
5 0
4 years ago
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